Online GCD Calculator is useful to find the GCD of 310, 770, 147, 704 quickly. Get the easiest ways to solve the greatest common divisor of 310, 770, 147, 704 i.e 1 in different methods as follows.
Given Input numbers are 310, 770, 147, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (310, 770, 147, 704) = 1.
Given numbers are 310, 770, 147, 704
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 147 are 3 x 7 x 7
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 770, 147, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 770) = 23870
GCD(310, 770) = ( 310 x 770 ) / 23870
= 310 / 770
= 310
Step2:
LCM(10, 147) = 1470
GCD(10, 147) = ( 10 x 147 ) / 1470
= 10 / 147
= 10
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 310, 770, 147, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 770, 147, 704
The greatest common divisor of numbers 310, 770, 147, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 770, 147, 704 is 1.
1. What is the GCD of 310, 770, 147, 704?
GCD of given numbers 310, 770, 147, 704 is 1
2. How to calculate the greatest common divisor of 310, 770, 147, 704?
We can find the highest common divisor of 310, 770, 147, 704 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 310, 770, 147, 704 i.e 1.
3. How can I use the GCD of 310, 770, 147, 704Calculator?
Out the numbers 310, 770, 147, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.